9976381440480 has 576 divisors, whose sum is σ = 43345673804160. Its totient is φ = 2032323084288.

The previous prime is 9976381440439. The next prime is 9976381440503. The reversal of 9976381440480 is 840441836799.

9976381440480 is a `hidden beast` number, since 9 + 9 + 7 + 6 + 3 + 8 + 144 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2487534 + ... + 5112786.

It is an arithmetic number, because the mean of its divisors is an integer number (75252905910).

Almost surely, 2^{9976381440480} is an apocalyptic number.

9976381440480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9976381440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21672836902080).

9976381440480 is an abundant number, since it is smaller than the sum of its proper divisors (33369292363680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9976381440480 is a wasteful number, since it uses less digits than its factorization.

9976381440480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625323 (or 2625312 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 9976381440480 in words is "nine trillion, nine hundred seventy-six billion, three hundred eighty-one million, four hundred forty thousand, four hundred eighty".